How Do You Solve the Integral of √x/(1+√x) from 0 to 4?

[ddr]

Homework Statement

4
∫ √x/(1+√x)
0

Homework Equations

The Attempt at a Solution

t=√x ; x=t^2 ; dx= 2t

2
∫ (2t^2)/(1+t)
0

and now?
thanx

 

[D H]

Simplify your denominator with another substitution.

 

[neutrino]

Bring the 2 outside the integral and then add and subtract 1 in the numerator.

 

[dextercioby]

First subtract and then add 1 in the numerator.

Daniel.

 

[NTUENG]

Hi ddr,

Perform polynomial algebraic division and integrate the result directly.